64 citations · 114 across the 16 of their papers we have counts for
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math.NT2004
On proportional constants of the mean value of class numbers of quadratic extensions
Takashi Taniguchi
In this article, we slightly refine the mean value theorem for the class number of quadratic extensions obtained by Goldfeld-Hoffstein and Datskovsky. We determine all the proporti…
math.NT2004★ 1 cited
A mean value theorem for the square of class number times regulator of quadratic extensions
Takashi Taniguchi
Let be a number field. In this paper, we give a formula for the mean value of the square of class numbers times regulators for certain families of quadratic extensions of c…
math.NT2004
On the zeta functions of prehomogeneous vector spaces for pair of simple algebras
Takashi Taniguchi
In this paper, we consider the prehomogeneous vector space for pair of simple algebras which are -forms of the type and the type. We mainly study the non-split cases…